What is x when 32 divided by x equals 8?

To find the answer, just divide the dividend by the quotient: 32 ÷ 8 = 4

To prove this, let's compute 32 divided by 4: $\frac{32}{4} = 8$

How does it work?

Asking what the value of x could be when 32 divided by x gives a result of 8, is equivalent to solving the following equation:

$\frac{32}{x} = 8$

Multiply both sides by x: $\frac{32 x}{x} = 8 x$
$\frac{32 x}{x}$ is equivalent to $\frac{x}{x} \times 32$ , which simplifies to $1 \times 32$ (or just $32$ ).
Thus, the equation becomes: $32 = 8 x$
To find x, divide both sides by 8: $\frac{32}{8} = \frac{8 x}{8}$
Which gives, after simplification: $4 = x$ (or $x = 4$ )

So, if the dividend is 32 and the quotient is 8, the divisor is 4.